起讫点矩阵与产生吸引点矩阵的相互转换

Mutual Transformation Between OD Matrix and PA Matrix

摘要:

对起讫点（OD）矩阵与产生吸引点（PA）矩阵的关系做了深入辨析，指出二者经常对应于不同的时间区间.通过对高峰小时系数局限性的分析，明确了出行分类的必要性，并提出了基于出行链与出行目的构成的分类比例推算方法.进而通过分时出发与到达系数，建立全日PA矩阵与高峰小时OD矩阵之间相互的线性变换关系，并在理论上论证了由OD矩阵推算PA矩阵的可行性.为便于实现，编写了由OD矩阵转换为PA矩阵的人机交互程序，最后通过算例检验了理论成果的有效性.

Abstract:

The relationship between origin destination (OD) and production attraction (PA) matrix was analyzed, and it was pointed out that they often corresponded with different time intervals. An analysis on the limit of peak hour factor argued the necessity of trip classification, and the method to estimate the ratio of each class was proposed based on trip chain and trip purpose structure. Then, with the help of hourly departure and return ratio index, the linear transformation relationship between day long PA matrix and peak hour OD matrix was argued, and the feasibility of PA matrix estimation was demonstrated theoretically. Besides, a human computer interaction interface was programmed. At last, an example was adopted to testify the effectiveness of the findings.